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Finding the Fourth Proportional to 331.13, 456.93 and 198.36

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Solution

The fourth proportional to 331.13, 456.93 and 198.36 is: 273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.13 : 456.93 = 198.36 : x
  2. Step 2: Convert to fraction form
    331.13/456.93 = 198.36/x
  3. Step 3: Cross multiply
    331.13x = 456.93 × 198.36
  4. Step 4: Simplify right side
    331.13x = 90,636.63
  5. Step 5: Solve for x
    x = 90,636.63/331.13
  6. Step 6: Final answer
    x = 273.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.